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<a href="a00161.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/* ========================================================================= *</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment"> *                               OpenMesh                                    *</span></div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"> *           Copyright (c) 2001-2015, RWTH-Aachen University                 *</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment"> *           Department of Computer Graphics and Multimedia                  *</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment"> *                          All rights reserved.                             *</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"> *                            www.openmesh.org                               *</span></div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> *---------------------------------------------------------------------------*</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment"> * This file is part of OpenMesh.                                            *</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment"> *---------------------------------------------------------------------------*</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment"> * Redistribution and use in source and binary forms, with or without        *</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment"> * modification, are permitted provided that the following conditions        *</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment"> * are met:                                                                  *</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"> *                                                                           *</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment"> * 1. 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IN NO EVENT SHALL THE COPYRIGHT HOLDER *</span></div><div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="comment"> * OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,  *</span></div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;<span class="comment"> * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,       *</span></div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="comment"> * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR        *</span></div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="comment"> * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF    *</span></div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;<span class="comment"> * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING      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class="lineno">   43</span>&#160;</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;</div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;<span class="comment">//=============================================================================</span></div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;<span class="comment">//  CLASS QuadricT</span></div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="comment">//</span></div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;<span class="comment">//=============================================================================</span></div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;<span class="preprocessor">#ifndef OPENMESH_GEOMETRY_QUADRIC_HH</span></div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;<span class="preprocessor">#define OPENMESH_GEOMETRY_QUADRIC_HH</span></div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;<span class="comment">//== INCLUDES =================================================================</span></div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="preprocessor">#include &quot;<a class="code" href="a04464.html">Config.hh</a>&quot;</span></div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;<span class="preprocessor">#include &lt;OpenMesh/Core/Geometry/VectorT.hh&gt;</span></div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;<span class="preprocessor">#include &lt;OpenMesh/Core/Utils/GenProg.hh&gt;</span></div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;<span class="comment">//== NAMESPACE ================================================================</span></div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="keyword">namespace </span><a class="code" href="a01233.html">OpenMesh</a> { <span class="comment">//BEGIN_NS_OPENMESH</span></div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="keyword">namespace </span>Geometry { <span class="comment">//BEGIN_NS_GEOMETRY</span></div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;<span class="comment">//== CLASS DEFINITION =========================================================</span></div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;</div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> Scalar&gt;</div><div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="a01985.html">   82</a></span>&#160;<span class="keyword">class </span><a class="code" href="a01985.html">QuadricT</a></div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;{</div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;  <span class="keyword">typedef</span> Scalar           value_type;</div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;  <span class="keyword">typedef</span> <a class="code" href="a01985.html">QuadricT&lt;Scalar&gt;</a> <a class="code" href="a01985.html">type</a>;</div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;  <span class="keyword">typedef</span> <a class="code" href="a01985.html">QuadricT&lt;Scalar&gt;</a> <a class="code" href="a01985.html">Self</a>;</div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;  <span class="comment">//   typedef VectorInterface&lt;Scalar, VecStorage3&lt;Scalar&gt; &gt; Vec3;</span></div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;  <span class="comment">//   typedef VectorInterface&lt;Scalar, VecStorage4&lt;Scalar&gt; &gt; Vec4;</span></div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;  <span class="comment">//typedef Vector3Elem      Vec3;</span></div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;  <span class="comment">//typedef Vector4Elem      Vec4;</span></div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div><div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="a01985.html#aa4dd04f39435110361e4088cc376618a">   94</a></span>&#160;  <a class="code" href="a01985.html#aa4dd04f39435110361e4088cc376618a">QuadricT</a>(Scalar _a, Scalar _b, Scalar _c, Scalar _d,</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;                      Scalar _e, Scalar _f, Scalar _g,</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;                                 Scalar _h, Scalar _i,</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;                                            Scalar _j)</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;  : a_(_a), b_(_b), c_(_c), d_(_d),</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            e_(_e), f_(_f), g_(_g),</div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;                    h_(_h), i_(_i),</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;                            j_(_j)</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;  {</div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;  }</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div><div class="line"><a name="l00107"></a><span class="lineno"><a class="line" href="a01985.html#ae6a410e0bd234af03477f8466d0b45d3">  107</a></span>&#160;  <a class="code" href="a01985.html#ae6a410e0bd234af03477f8466d0b45d3">QuadricT</a>( Scalar _a=0.0, Scalar _b=0.0, Scalar _c=0.0, Scalar _d=0.0 )</div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;  : a_(_a*_a), b_(_a*_b),  c_(_a*_c),  d_(_a*_d),</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;               e_(_b*_b),  f_(_b*_c),  g_(_b*_d),</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;                           h_(_c*_c),  i_(_c*_d),</div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;                                       j_(_d*_d)</div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;  {}</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">class</span> _Po<span class="keywordtype">int</span>&gt;</div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;  <span class="keyword">explicit</span> <a class="code" href="a01985.html#aa4dd04f39435110361e4088cc376618a">QuadricT</a>(<span class="keyword">const</span> _Point&amp; _pt)</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;  {</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    set_distance_to_point(_pt);</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;  }</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">class</span> _Normal, <span class="keyword">class</span> _Po<span class="keywordtype">int</span>&gt;</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;  <a class="code" href="a01985.html#aa4dd04f39435110361e4088cc376618a">QuadricT</a>(<span class="keyword">const</span> _Normal&amp; _n, <span class="keyword">const</span> _Point&amp; _p)</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;  {</div><div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    set_distance_to_plane(_n,_p);</div><div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;  }</div><div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div><div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;  <span class="comment">//set operator</span></div><div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;  <span class="keywordtype">void</span> <span class="keyword">set</span>(Scalar _a, Scalar _b, Scalar _c, Scalar _d,</div><div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;                      Scalar _e, Scalar _f, Scalar _g,</div><div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;                                 Scalar _h, Scalar _i,</div><div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;                                            Scalar _j)</div><div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;  {</div><div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    a_ = _a; b_ = _b; c_ = _c; d_ = _d;</div><div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;             e_ = _e; f_ = _f; g_ = _g;</div><div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;                      h_ = _h; i_ = _i;</div><div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;                               j_ = _j;</div><div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;  }</div><div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;</div><div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;  <span class="comment">//sets the quadric representing the squared distance to _pt</span></div><div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">class</span> _Po<span class="keywordtype">int</span>&gt;</div><div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;  <span class="keywordtype">void</span> set_distance_to_point(<span class="keyword">const</span> _Point&amp; _pt)</div><div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;  {</div><div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    <span class="keyword">set</span>(1, 0, 0, -_pt[0],</div><div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;           1, 0, -_pt[1],</div><div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;              1, -_pt[2],</div><div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;                 <a class="code" href="a01233.html#a351b282a40719408090277956e526735">dot</a>(_pt,_pt));</div><div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;  }</div><div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;</div><div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;  <span class="comment">//sets the quadric representing the squared distance to the plane [_a,_b,_c,_d]</span></div><div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;  <span class="keywordtype">void</span> set_distance_to_plane(Scalar _a, Scalar _b, Scalar _c, Scalar _d)</div><div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;  {</div><div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;    a_ = _a*_a; b_ = _a*_b; c_ = _a*_c;  d_ = _a*_d;</div><div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;                e_ = _b*_b; f_ = _b*_c;  g_ = _b*_d;</div><div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;                            h_ = _c*_c;  i_ = _c*_d;</div><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;                                         j_ = _d*_d;</div><div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;  }</div><div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;</div><div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;  <span class="comment">//sets the quadric representing the squared distance to the plane</span></div><div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;  <span class="comment">//determined by the normal _n and the point _p</span></div><div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">class</span> _Normal, <span class="keyword">class</span> _Po<span class="keywordtype">int</span>&gt;</div><div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;  <span class="keywordtype">void</span> set_distance_to_plane(<span class="keyword">const</span> _Normal&amp;  _n, <span class="keyword">const</span> _Point&amp; _p)</div><div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;  {</div><div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    set_distance_to_plane(_n[0], _n[1], _n[2], -<a class="code" href="a01233.html#a351b282a40719408090277956e526735">dot</a>(_n,_p));</div><div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;  }</div><div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;</div><div class="line"><a name="l00166"></a><span class="lineno"><a class="line" href="a01985.html#a517295130e59b59dc70dd3291685e7d2">  166</a></span>&#160;  <span class="keywordtype">void</span> <a class="code" href="a01985.html#a517295130e59b59dc70dd3291685e7d2">clear</a>()  { a_ = b_ = c_ = d_ = e_ = f_ = g_ = h_ = i_ = j_ = 0.0; }</div><div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div><div class="line"><a name="l00169"></a><span class="lineno"><a class="line" href="a01985.html#ad7420a9ff9906f3f72632bed88f46296">  169</a></span>&#160;  <a class="code" href="a01985.html">QuadricT&lt;Scalar&gt;</a>&amp; <a class="code" href="a01985.html#ad7420a9ff9906f3f72632bed88f46296">operator+=</a>( <span class="keyword">const</span> <a class="code" href="a01985.html">QuadricT&lt;Scalar&gt;</a>&amp; _q )</div><div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;  {</div><div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;    a_ += _q.a_;  b_ += _q.b_;  c_ += _q.c_;  d_ += _q.d_;</div><div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;                  e_ += _q.e_;  f_ += _q.f_;  g_ += _q.g_;</div><div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;                                h_ += _q.h_;  i_ += _q.i_;</div><div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;                                              j_ += _q.j_;</div><div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;    <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;  }</div><div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div><div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;  <a class="code" href="a01985.html">QuadricT&lt;Scalar&gt;</a> operator+(<span class="keyword">const</span> <a class="code" href="a01985.html">QuadricT&lt;Scalar&gt;</a>&amp; _other )<span class="keyword"> const</span></div><div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;<span class="keyword">  </span>{</div><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    <a class="code" href="a01985.html">QuadricT&lt;Scalar&gt;</a> result = *<span class="keyword">this</span>;</div><div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;    <span class="keywordflow">return</span> result += _other;</div><div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;  }</div><div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;</div><div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div><div class="line"><a name="l00186"></a><span class="lineno"><a class="line" href="a01985.html#ac21882edebe006a5f53bd3ba068149b0">  186</a></span>&#160;  <a class="code" href="a01985.html">QuadricT&lt;Scalar&gt;</a>&amp; <a class="code" href="a01985.html#ac21882edebe006a5f53bd3ba068149b0">operator*=</a>( Scalar _s)</div><div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;  {</div><div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;    a_ *= _s;  b_ *= _s;  c_ *= _s;  d_ *= _s;</div><div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;               e_ *= _s;  f_ *= _s;  g_ *= _s;</div><div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;                          h_ *= _s;  i_ *= _s;</div><div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;                                     j_ *= _s;</div><div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div><div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;  }</div><div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;</div><div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;  <a class="code" href="a01985.html">QuadricT&lt;Scalar&gt;</a> operator*(Scalar _s)<span class="keyword"> const</span></div><div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;<span class="keyword">  </span>{</div><div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;    <a class="code" href="a01985.html">QuadricT&lt;Scalar&gt;</a> result = *<span class="keyword">this</span>;</div><div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    <span class="keywordflow">return</span> result *= _s;</div><div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;  }</div><div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;</div><div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">class</span> _Vec4&gt;</div><div class="line"><a name="l00203"></a><span class="lineno"><a class="line" href="a01985.html#a227c2443569ce36cb5cd23277e3cfba6">  203</a></span>&#160;  _Vec4 <a class="code" href="a01985.html#a227c2443569ce36cb5cd23277e3cfba6">operator*</a>(<span class="keyword">const</span> _Vec4&amp; _v)<span class="keyword"> const</span></div><div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;<span class="keyword">  </span>{</div><div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;    Scalar x(_v[0]), y(_v[1]), z(_v[2]), w(_v[3]);</div><div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;    <span class="keywordflow">return</span> _Vec4(x*a_ + y*b_ + z*c_ + w*d_,</div><div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;                 x*b_ + y*e_ + z*f_ + w*g_,</div><div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;                 x*c_ + y*f_ + z*h_ + w*i_,</div><div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;                 x*d_ + y*g_ + z*i_ + w*j_);</div><div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;  }</div><div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;</div><div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">class</span> _Vec&gt;</div><div class="line"><a name="l00214"></a><span class="lineno"><a class="line" href="a01985.html#ae3b9a2532b85ac0af7066575ffce1150">  214</a></span>&#160;  Scalar <a class="code" href="a01985.html#ae3b9a2532b85ac0af7066575ffce1150">operator()</a>(<span class="keyword">const</span> _Vec&amp; _v)<span class="keyword"> const</span></div><div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;<span class="keyword">  </span>{</div><div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;    <span class="keywordflow">return</span> <a class="code" href="a01985.html#a8aa826372b7be8f40e06920fa8b962db">evaluate</a>(_v, GenProg::Int2Type&lt;<a class="code" href="a02621.html">vector_traits&lt;_Vec&gt;::size_</a>&gt;());</div><div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;  }</div><div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;</div><div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;  Scalar a()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a_; }</div><div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;  Scalar b()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> b_; }</div><div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;  Scalar c()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> c_; }</div><div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;  Scalar d()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> d_; }</div><div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;  Scalar e()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> e_; }</div><div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;  Scalar f()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> f_; }</div><div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;  Scalar g()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> g_; }</div><div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;  Scalar h()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> h_; }</div><div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;  Scalar i()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> i_; }</div><div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;  Scalar j()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> j_; }</div><div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;</div><div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;  Scalar xx()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> a_; }</div><div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;  Scalar xy()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> b_; }</div><div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;  Scalar xz()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> c_; }</div><div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;  Scalar xw()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> d_; }</div><div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;  Scalar yy()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> e_; }</div><div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;  Scalar yz()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> f_; }</div><div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;  Scalar yw()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> g_; }</div><div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;  Scalar zz()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> h_; }</div><div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;  Scalar zw()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> i_; }</div><div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;  Scalar ww()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> j_; }</div><div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;</div><div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;<span class="keyword">protected</span>:</div><div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;</div><div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">class</span> _Vec3&gt;</div><div class="line"><a name="l00245"></a><span class="lineno"><a class="line" href="a01985.html#a8aa826372b7be8f40e06920fa8b962db">  245</a></span>&#160;  Scalar <a class="code" href="a01985.html#a8aa826372b7be8f40e06920fa8b962db">evaluate</a>(<span class="keyword">const</span> _Vec3&amp; _v, GenProg::Int2Type&lt;3&gt;<span class="comment">/*_dimension*/</span>)<span class="keyword"> const</span></div><div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;<span class="keyword">  </span>{</div><div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;    Scalar x(_v[0]), y(_v[1]), z(_v[2]);</div><div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;    <span class="keywordflow">return</span> a_*x*x + 2.0*b_*x*y + 2.0*c_*x*z + 2.0*d_*x</div><div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;                  +     e_*y*y + 2.0*f_*y*z + 2.0*g_*y</div><div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;                               +     h_*z*z + 2.0*i_*z</div><div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;                                            +     j_;</div><div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;  }</div><div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;</div><div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;  <span class="keyword">template</span> &lt;<span class="keyword">class</span> _Vec4&gt;</div><div class="line"><a name="l00256"></a><span class="lineno"><a class="line" href="a01985.html#a61ef039c41b6ad5cd04b7db296d2f546">  256</a></span>&#160;  Scalar <a class="code" href="a01985.html#a61ef039c41b6ad5cd04b7db296d2f546">evaluate</a>(<span class="keyword">const</span> _Vec4&amp; _v, GenProg::Int2Type&lt;4&gt;<span class="comment">/*_dimension*/</span>)<span class="keyword"> const</span></div><div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;<span class="keyword">  </span>{</div><div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;    Scalar x(_v[0]), y(_v[1]), z(_v[2]), w(_v[3]);</div><div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;    <span class="keywordflow">return</span> a_*x*x + 2.0*b_*x*y + 2.0*c_*x*z + 2.0*d_*x*w</div><div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;                  +     e_*y*y + 2.0*f_*y*z + 2.0*g_*y*w</div><div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;                               +     h_*z*z + 2.0*i_*z*w</div><div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;                                            +     j_*w*w;</div><div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;  }</div><div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;</div><div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;<span class="keyword">private</span>:</div><div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;</div><div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;  Scalar a_, b_, c_, d_,</div><div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;             e_, f_, g_,</div><div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;                 h_, i_,</div><div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;                     j_;</div><div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;};</div><div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;</div><div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;</div><div class="line"><a name="l00275"></a><span class="lineno"><a class="line" href="a00161.html#ad75ef49af7bc4d049924402a82fafd2b">  275</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="a01985.html">QuadricT&lt;float&gt;</a> <a class="code" href="a01985.html">Quadricf</a>;</div><div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;</div><div class="line"><a name="l00278"></a><span class="lineno"><a class="line" href="a00161.html#a858c8f4cd938b217a26ef480af3fba39">  278</a></span>&#160;<span class="keyword">typedef</span> <a class="code" href="a01985.html">QuadricT&lt;double&gt;</a> <a class="code" href="a01985.html">Quadricd</a>;</div><div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;</div><div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;</div><div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;<span class="comment">//=============================================================================</span></div><div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;} <span class="comment">// END_NS_GEOMETRY</span></div><div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;} <span class="comment">// END_NS_OPENMESH</span></div><div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;<span class="comment">//============================================================================</span></div><div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;<span class="preprocessor">#endif // OPENMESH_GEOMETRY_HH defined</span></div><div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;<span class="comment">//=============================================================================</span></div><div class="ttc" id="a01985_html"><div class="ttname"><a href="a01985.html">OpenMesh::Geometry::QuadricT</a></div><div class="ttdoc">/class QuadricT Geometry/QuadricT.hh </div><div class="ttdef"><b>Definition:</b> QuadricT.hh:82</div></div>
<div class="ttc" id="a01985_html_aa4dd04f39435110361e4088cc376618a"><div class="ttname"><a href="a01985.html#aa4dd04f39435110361e4088cc376618a">OpenMesh::Geometry::QuadricT::QuadricT</a></div><div class="ttdeci">QuadricT(Scalar _a, Scalar _b, Scalar _c, Scalar _d, Scalar _e, Scalar _f, Scalar _g, Scalar _h, Scalar _i, Scalar _j)</div><div class="ttdoc">construct with upper triangle of symmetrix 4x4 matrix </div><div class="ttdef"><b>Definition:</b> QuadricT.hh:94</div></div>
<div class="ttc" id="a01985_html_a61ef039c41b6ad5cd04b7db296d2f546"><div class="ttname"><a href="a01985.html#a61ef039c41b6ad5cd04b7db296d2f546">OpenMesh::Geometry::QuadricT::evaluate</a></div><div class="ttdeci">Scalar evaluate(const _Vec4 &amp;_v, GenProg::Int2Type&lt; 4 &gt;) const</div><div class="ttdoc">evaluate quadric Q at 4D vector v: v*Q*v </div><div class="ttdef"><b>Definition:</b> QuadricT.hh:256</div></div>
<div class="ttc" id="a01985_html_ae6a410e0bd234af03477f8466d0b45d3"><div class="ttname"><a href="a01985.html#ae6a410e0bd234af03477f8466d0b45d3">OpenMesh::Geometry::QuadricT::QuadricT</a></div><div class="ttdeci">QuadricT(Scalar _a=0.0, Scalar _b=0.0, Scalar _c=0.0, Scalar _d=0.0)</div><div class="ttdoc">constructor from given plane equation: ax+by+cz+d_=0 </div><div class="ttdef"><b>Definition:</b> QuadricT.hh:107</div></div>
<div class="ttc" id="a01985_html_a227c2443569ce36cb5cd23277e3cfba6"><div class="ttname"><a href="a01985.html#a227c2443569ce36cb5cd23277e3cfba6">OpenMesh::Geometry::QuadricT::operator*</a></div><div class="ttdeci">_Vec4 operator*(const _Vec4 &amp;_v) const</div><div class="ttdoc">multiply 4D vector from right: Q*v </div><div class="ttdef"><b>Definition:</b> QuadricT.hh:203</div></div>
<div class="ttc" id="a04464_html"><div class="ttname"><a href="a04464.html">Config.hh</a></div></div>
<div class="ttc" id="a01985_html_a517295130e59b59dc70dd3291685e7d2"><div class="ttname"><a href="a01985.html#a517295130e59b59dc70dd3291685e7d2">OpenMesh::Geometry::QuadricT::clear</a></div><div class="ttdeci">void clear()</div><div class="ttdoc">set all entries to zero </div><div class="ttdef"><b>Definition:</b> QuadricT.hh:166</div></div>
<div class="ttc" id="a02621_html"><div class="ttname"><a href="a02621.html">OpenMesh::vector_traits</a></div><div class="ttdoc">Helper class providing information about a vector type. </div><div class="ttdef"><b>Definition:</b> vector_traits.hh:88</div></div>
<div class="ttc" id="a01233_html_a351b282a40719408090277956e526735"><div class="ttname"><a href="a01233.html#a351b282a40719408090277956e526735">OpenMesh::dot</a></div><div class="ttdeci">osg::Vec3f::ValueType dot(const osg::Vec3f &amp;_v1, const osg::Vec3f &amp;_v2)</div><div class="ttdoc">Adapter for osg vector member computing a scalar product. </div><div class="ttdef"><b>Definition:</b> VectorAdapter.hh:176</div></div>
<div class="ttc" id="a01985_html_a8aa826372b7be8f40e06920fa8b962db"><div class="ttname"><a href="a01985.html#a8aa826372b7be8f40e06920fa8b962db">OpenMesh::Geometry::QuadricT::evaluate</a></div><div class="ttdeci">Scalar evaluate(const _Vec3 &amp;_v, GenProg::Int2Type&lt; 3 &gt;) const</div><div class="ttdoc">evaluate quadric Q at 3D vector v: v*Q*v </div><div class="ttdef"><b>Definition:</b> QuadricT.hh:245</div></div>
<div class="ttc" id="a01985_html_ae3b9a2532b85ac0af7066575ffce1150"><div class="ttname"><a href="a01985.html#ae3b9a2532b85ac0af7066575ffce1150">OpenMesh::Geometry::QuadricT::operator()</a></div><div class="ttdeci">Scalar operator()(const _Vec &amp;_v) const</div><div class="ttdoc">evaluate quadric Q at (3D or 4D) vector v: v*Q*v </div><div class="ttdef"><b>Definition:</b> QuadricT.hh:214</div></div>
<div class="ttc" id="a01233_html"><div class="ttname"><a href="a01233.html">OpenMesh</a></div><div class="ttdoc">Contains all the mesh ingredients like the polygonal mesh, the triangle mesh, different mesh kernels ...</div><div class="ttdef"><b>Definition:</b> MeshItems.hh:59</div></div>
<div class="ttc" id="a01985_html_ac21882edebe006a5f53bd3ba068149b0"><div class="ttname"><a href="a01985.html#ac21882edebe006a5f53bd3ba068149b0">OpenMesh::Geometry::QuadricT::operator*=</a></div><div class="ttdeci">QuadricT&lt; Scalar &gt; &amp; operator*=(Scalar _s)</div><div class="ttdoc">multiply by scalar </div><div class="ttdef"><b>Definition:</b> QuadricT.hh:186</div></div>
<div class="ttc" id="a01985_html_ad7420a9ff9906f3f72632bed88f46296"><div class="ttname"><a href="a01985.html#ad7420a9ff9906f3f72632bed88f46296">OpenMesh::Geometry::QuadricT::operator+=</a></div><div class="ttdeci">QuadricT&lt; Scalar &gt; &amp; operator+=(const QuadricT&lt; Scalar &gt; &amp;_q)</div><div class="ttdoc">add quadrics </div><div class="ttdef"><b>Definition:</b> QuadricT.hh:169</div></div>
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